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Finding the Fourth Proportional to 36,036.24, 49,729.17 and 20,122.17

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Solution

The fourth proportional to 36,036.24, 49,729.17 and 20,122.17 is: 27,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,036.24 : 49,729.17 = 20,122.17 : x
  2. Step 2: Convert to fraction form
    36,036.24/49,729.17 = 20,122.17/x
  3. Step 3: Cross multiply
    36,036.24x = 49,729.17 × 20,122.17
  4. Step 4: Simplify right side
    36,036.24x = 1,000,658,812.70
  5. Step 5: Solve for x
    x = 1,000,658,812.70/36,036.24
  6. Step 6: Final answer
    x = 27,768.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.